This paper presents novel finite element solvers for Stokes flow that are pressure-robust due
to the use of a lifting operator. Specifically, weak Galerkin (WG) finite element schemes are …

In this paper, we propose a discretization of the Stokes equations on general simplicial
meshes in two/three dimensions, which yields an exactly divergence-free and pressure …

Within the last years pressure robust methods for the discretization of incompressible fluids
have been developed. These methods allow the use of standard finite elements for the …

Divergence-free vector fields play an important role in many types of problems, including the
incompressible Navier-Stokes equations and the equations for magnetohydrodynamics. In …

This article presents and studies a two-level grad-div stabilized finite element discretization
method for solving numerically the steady incompressible Navier–Stokes equations. The …

In this paper, we propose a pressure robust staggered discontinuous Galerkin method for
the Stokes equations on general polygonal meshes by using piecewise constant …

Recently there has been increased interest in a special class of discretizations for
incompressible flows, which produce velocity approximations that are independent of how …

Abstract In Gong et al.(2020), we proposed an HDG method to approximate the solution of a
tangential boundary control problem for the Stokes equations and obtained an optimal …

In this paper, an equal-order hybridized discontinuous Galerkin (HDG) method with a small
pressure penalty parameter for the Stokes equations is analyzed. When the pressure …

In this paper, the a priori error estimates of an embedded discontinuous Galerkin method for
the Oseen equations are presented. It is proved that the velocity error in the L 2 (Ω) norm …